How to get emitter particles to stay static?
Probably you won't need all of these, but to stay on the safe side:


the Start and End time of the particle Emission must be 1 (all particles emitted at the first frame) and their Lifetime must be 250 (or the animation length in frames)
the Velocity must be 0 in each one of its components. Including  Normal, that is 1 by default!
Physics Type should be set to None
the Field Weights called Gravity and All must be 0 (this is redundant, since Physics: None should guarantee this already) 


To summarize:



(Hair particles, on the other hand, won't move by default. Unless Hair Dynamics is selected; in which case, deselect it.)